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Finding the Fourth Proportional to 998.86, 1,377.74 and 584.86

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Solution

The fourth proportional to 998.86, 1,377.74 and 584.86 is: 806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.86 : 1,377.74 = 584.86 : x
  2. Step 2: Convert to fraction form
    998.86/1,377.74 = 584.86/x
  3. Step 3: Cross multiply
    998.86x = 1,377.74 × 584.86
  4. Step 4: Simplify right side
    998.86x = 805,785.02
  5. Step 5: Solve for x
    x = 805,785.02/998.86
  6. Step 6: Final answer
    x = 806.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.